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Finding the Fourth Proportional to 2,388.54, 3,583.36 and 828.48

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Solution

The fourth proportional to 2,388.54, 3,583.36 and 828.48 is: 1,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.54 : 3,583.36 = 828.48 : x
  2. Step 2: Convert to fraction form
    2,388.54/3,583.36 = 828.48/x
  3. Step 3: Cross multiply
    2,388.54x = 3,583.36 × 828.48
  4. Step 4: Simplify right side
    2,388.54x = 2,968,742.09
  5. Step 5: Solve for x
    x = 2,968,742.09/2,388.54
  6. Step 6: Final answer
    x = 1,242.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.